Modified wave operators for the coupled wave-Schrödinger equations in three space dimensions
Modified wave operators for the coupled wave-Schrödinger equations in three space dimensions
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DOI：
10.3934/dcds.2003.9.1571
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发表时间：
2003-09
影响因子：
1.1
通讯作者：
A. Shimomura
中科院分区：
文献类型：
--
作者：
A. Shimomura
本文研究了三维空间中具有Yukawa型相互作用的耦合波薛定谔方程的散射理论。该方程属于短程情况和长程情况之间的边界。对于小散射态，我们构造了该方程的修正波算子，对它们的傅里叶变换的支持度没有限制。
We study the scattering theory for the coupled Wave-Schrodinger equation with the Yukawa type interaction, which is certain quadratic interaction, in three space dimensions. This equation belongs to the borderline between the short range case and the long range one. We construct modified wave operators for that equation for small scattered states with no restriction on the support of the Fourier transform of them.